Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6446/557, 9151/444 quickly i.e. 58987346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6446/557, 9151/444 is 58987346.
LCM(6446/557, 9151/444) = 58987346
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6446/557,9151/444
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 6446,9151
Least Common Multiple of Numerators i.e. LCM of 6446,9151 is 58987346.
GCF of Denominators means GCF of 557,444 as per the given fractions.
GCF of 557,444 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6446,9151
Given numbers has no common factors except 1. So, there LCM is their product i.e 58987346
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 6446,9151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6446,9151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6446,9151) x common factors =1 x 1 = 1
LCM(6446,9151) = ( 6446 × 9151 ) / 1
LCM(6446,9151) = 58987346 / 1
LCM(6446,9151) = 58987346
Lets's calculate GCF of 557,444
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58987346/1
Therefore the LCM of Fractions 6446/557,9151/444 is 58987346
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 557,444 . The biggest common factor number is the GCF number.
So the greatest common factor 557,444 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 6446/557, 9151/444?
Answer: LCM of Numerators as per given numbers 6446/557, 9151/444 is
LCM of Numerators i.e. for 6446,9151 is 58987346
GCF of denominators i.e. for 557,444 is 1.
Thus, LCM of Fractions is 58987346.Finally, LCM of Fractions for 6446/557, 9151/444 is 58987346.